Abstract We give arithmetic formulas for the coefficients of Hauptmoduln of higher level as analogues of Kaneko’s formula for the 𝑗-invariant. We also obtain their asymptotic formulas by employing ...

This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the publication of original papers of moderate length. A section called Shorter ...

Randolph Grace receives funding from the Marsden Fund, administered by the Royal Society of New Zealand. University of Canterbury provides funding as a member of The Conversation AU. University of ...